What is the Greatest Common Factor of 25098 and 25109?
Greatest common factor (GCF) of 25098 and 25109 is 1.
GCF(25098,25109) = 1
We will now calculate the prime factors of 25098 and 25109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25098 and 25109.
How to find the GCF of 25098 and 25109?
We will first find the prime factorization of 25098 and 25109. After we will calculate the factors of 25098 and 25109 and find the biggest common factor number .
Step-1: Prime Factorization of 25098
Prime factors of 25098 are 2, 3, 47, 89. Prime factorization of 25098 in exponential form is:
25098 = 21 × 31 × 471 × 891
Step-2: Prime Factorization of 25109
Prime factors of 25109 are 7, 17, 211. Prime factorization of 25109 in exponential form is:
25109 = 71 × 171 × 2111
Step-3: Factors of 25098
List of positive integer factors of 25098 that divides 25098 without a remainder.
1, 2, 3, 6, 47, 89, 94, 141, 178, 267, 282, 534, 4183, 8366, 12549
Step-4: Factors of 25109
List of positive integer factors of 25109 that divides 25098 without a remainder.
1, 7, 17, 119, 211, 1477, 3587
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 25098 and 25109. The biggest common factor number is the GCF number.
So the greatest common factor 25098 and 25109 is 1.
Also check out the Least Common Multiple of 25098 and 25109
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